Answer:
<u>475 runners</u> competed in the Labor Day race.
Step-by-step explanation:
Given:
Last year, 60% of runners who competed in the Labor Day race finished in 1 hour or less. There were 285 runners who finished the Labor Day race in 1 hour or less.
Now, to find the runners competed in the Labor Day race.
Let the runners competed in the Labor Day race be 
Rate of runners who competed in the Labor Day race finished in 1 hour or less = 60%.
Number of runners who competed in the Labor Day race finished in 1 hour or less = 285.
Now, to get the runners competed in the Labor Day race we put an equation:
<em>Dividing both sides by 0.60 we get:</em>
Therefore, 475 runners competed in the Labor Day race.
G(-1) = -1
g(1) = - (1 + 1)² + 1 = 5
g(3) = - 1/2 (3) + 2 = 3 1/2
Answer: -1, 5 , 3 1/2
Answer:
At 11:30 am they will arrive at their starting point together
Step-by-step explanation:
we know that
One of them completes one lap in 6 minutes
The second one in 9 minutes
The third one in 15 minutes
step 1
Find the least common multiple (LCM)
6=2*3
9=3²
15=3*5
so
LCM=(3²)*(2)*(5)=90 minutes
step 2
Find the number of laps of each jogger for the LCM
jogger 1
90/6=15 laps
jogger 2
90/9=10 laps
jogger 3
90/15=6 laps
If they start at 10:00 am
then
10:00 am + 90 minutes=11:30 am
Multiply the person's weight (9 stone) by the conversion factors (14 lb / 1 stone) and (1 kg / 2.2 lb). Please show your work.
Answer:f⁻¹(x) =
Explanation:To get the inverse of a function, we have to follow these steps:1- replace f(x) with y
2- swap the x and y variables
3- solve for y
4- replace y with f⁻¹(x)
Applying this to the given as follows:f(x) =
Step 1: replace f(x) with y:y =
Step 2: swap the x and y variables:x =
Step 3: solve for y:7x = 4y - 3
4y = 7x - 3
y =
Step 4: replace y with f⁻¹(x):f⁻¹(x) =
Hope this helps :)
